{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 5. Neural Networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.stats as st\n",
    "from sklearn.datasets import fetch_mldata, make_moons\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.preprocessing import LabelBinarizer\n",
    "from sklearn.metrics import accuracy_score\n",
    "\n",
    "from prml import nn\n",
    "\n",
    "np.random.seed(1234)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.1 Feed-forward Network Functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class RegressionNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self, n_input, n_hidden, n_output):\n",
    "        truncnorm = st.truncnorm(a=-2, b=2, scale=1)\n",
    "        super().__init__(\n",
    "            w1=truncnorm.rvs((n_input, n_hidden)),\n",
    "            b1=np.zeros(n_hidden),\n",
    "            w2=truncnorm.rvs((n_hidden, n_output)),\n",
    "            b2=np.zeros(n_output)\n",
    "        )\n",
    "\n",
    "    def __call__(self, x, y=None):\n",
    "        h = nn.tanh(x @ self.w1 + self.b1)\n",
    "        self.py = nn.random.Gaussian(h @ self.w2 + self.b2, std=1., data=y)\n",
    "        return self.py.mu.value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABIQAAAJCCAYAAACxsxylAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCAAAAKAxGkIAAAAAjdEQAgAAAGjML6KHTVToo8hoAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117d7e908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def create_toy_data(func, n=50):\n",
    "    x = np.linspace(-1, 1, n)[:, None]\n",
    "    return x, func(x)\n",
    "\n",
    "def sinusoidal(x):\n",
    "    return np.sin(np.pi * x)\n",
    "\n",
    "def heaviside(x):\n",
    "    return 0.5 * (np.sign(x) + 1)\n",
    "\n",
    "func_list = [np.square, sinusoidal, np.abs, heaviside]\n",
    "plt.figure(figsize=(20, 10))\n",
    "x = np.linspace(-1, 1, 1000)[:, None]\n",
    "for i, func, n_iter, decay_step in zip(range(1, 5), func_list, [1000, 10000, 10000, 10000], [100, 100, 1000, 1000]):\n",
    "    plt.subplot(2, 2, i)\n",
    "    x_train, y_train = create_toy_data(func)\n",
    "    model = RegressionNetwork(1, 3, 1)\n",
    "    optimizer = nn.optimizer.Adam(model, 0.1)\n",
    "    optimizer.set_decay(0.9, decay_step)\n",
    "    for _ in range(n_iter):\n",
    "        model.clear()\n",
    "        model(x_train, y_train)\n",
    "        log_likelihood = model.log_pdf()\n",
    "        log_likelihood.backward()\n",
    "        optimizer.update()\n",
    "    y = model(x)\n",
    "    plt.scatter(x_train, y_train, s=10)\n",
    "    plt.plot(x, y, color=\"r\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.3 Error Backpropagation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class ClassificationNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self, n_input, n_hidden, n_output):\n",
    "        truncnorm = st.truncnorm(a=-2, b=2, scale=1)\n",
    "        super().__init__(\n",
    "            w1=truncnorm.rvs((n_input, n_hidden)),\n",
    "            b1=np.zeros(n_hidden),\n",
    "            w2=truncnorm.rvs((n_hidden, n_output)),\n",
    "            b2=np.zeros(n_output)\n",
    "        )\n",
    "\n",
    "    def __call__(self, x, y=None):\n",
    "        h = nn.tanh(x @ self.w1 + self.b1)\n",
    "        self.py = nn.random.Bernoulli(logit=h @ self.w2 + self.b2, data=y)\n",
    "        return self.py.mu.value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEKCAYAAAAMzhLIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nXAoKERGJS0EhIiJxKShERCSu/w8dtSY0aqZoRwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117ed6828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAUAAAAD8CAYAAAAG730QAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118397898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def create_toy_data():\n",
    "    x = np.random.uniform(-1., 1., size=(100, 2))\n",
    "    labels = np.prod(x, axis=1) > 0\n",
    "    return x, labels.reshape(-1, 1)\n",
    "\n",
    "\n",
    "x_train, y_train = create_toy_data()\n",
    "model = ClassificationNetwork(2, 4, 1)\n",
    "optimizer = nn.optimizer.Adam(model, 1e-3)\n",
    "history = []\n",
    "for i in range(10000):\n",
    "    model.clear()\n",
    "    model(x_train, y_train)\n",
    "    log_likelihood = model.log_pdf()\n",
    "    log_likelihood.backward()\n",
    "    optimizer.update()\n",
    "    history.append(log_likelihood.value)\n",
    "    \n",
    "plt.plot(history)\n",
    "plt.xlabel(\"iteration\")\n",
    "plt.ylabel(\"Log Likelihood\")\n",
    "plt.show()\n",
    "    \n",
    "x0, x1 = np.meshgrid(np.linspace(-1, 1, 100), np.linspace(-1, 1, 100))\n",
    "x = np.array([x0, x1]).reshape(2, -1).T\n",
    "y = model(x).reshape(100, 100)\n",
    "\n",
    "levels = np.linspace(0, 1, 11)\n",
    "plt.scatter(x_train[:, 0], x_train[:, 1], c=y_train)\n",
    "plt.contourf(x0, x1, y, levels, alpha=0.2)\n",
    "plt.colorbar()\n",
    "plt.xlim(-1, 1)\n",
    "plt.ylim(-1, 1)\n",
    "plt.gca().set_aspect('equal')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.5 Regularization in Neural Networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABI0AAAEyCAYAAAB3bCAzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118775978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def create_toy_data(n=10):\n",
    "    x = np.linspace(0, 1, n)[:, None]\n",
    "    return x, np.sin(2 * np.pi * x) + np.random.normal(scale=0.25, size=(10, 1))\n",
    "\n",
    "\n",
    "x_train, y_train = create_toy_data()\n",
    "x = np.linspace(0, 1, 100)[:, None]\n",
    "\n",
    "plt.figure(figsize=(20, 5))\n",
    "for i, m in enumerate([1, 3, 30]):\n",
    "    plt.subplot(1, 3, i + 1)\n",
    "    model = RegressionNetwork(1, m, 1)\n",
    "    optimizer = nn.optimizer.Adam(model, 0.1)\n",
    "    optimizer.set_decay(0.9, 1000)\n",
    "    for j in range(10000):\n",
    "        model.clear()\n",
    "        model(x_train, y_train)\n",
    "        log_posterior = model.log_pdf()\n",
    "        log_posterior.backward()\n",
    "        optimizer.update()\n",
    "    y = model(x)\n",
    "    plt.scatter(x_train, y_train, marker=\"x\", color=\"k\")\n",
    "    plt.plot(x, y, color=\"k\")\n",
    "    plt.annotate(\"M={}\".format(m), (0.7, 0.5))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class RegularizedRegressionNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self, n_input, n_hidden, n_output):\n",
    "        truncnorm = st.truncnorm(a=-2, b=2, scale=1)\n",
    "        super().__init__(\n",
    "            w1=truncnorm.rvs((n_input, n_hidden)),\n",
    "            b1=np.zeros(n_hidden),\n",
    "            w2=truncnorm.rvs((n_hidden, n_output)),\n",
    "            b2=np.zeros(n_output)\n",
    "        )\n",
    "\n",
    "    def __call__(self, x, y=None):\n",
    "        self.pw1 = nn.random.Gaussian(0., 1., data=self.w1)\n",
    "        self.pb1 = nn.random.Gaussian(0., 1., data=self.b1)\n",
    "        self.pw2 = nn.random.Gaussian(0., 1., data=self.w2)\n",
    "        self.pb2 = nn.random.Gaussian(0., 1., data=self.b2)\n",
    "        h = nn.tanh(x @ self.w1 + self.b1)\n",
    "        self.py = nn.random.Gaussian(h @ self.w2 + self.b2, std=0.1, data=y)\n",
    "        return self.py.mu.value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAD8CAYAAAB+UHOxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nARBCCD/1f9js1I+IIHMzAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1183d6668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = RegularizedRegressionNetwork(1, 30, 1)\n",
    "optimizer = nn.optimizer.Adam(model, 0.1)\n",
    "optimizer.set_decay(0.9, 1000)\n",
    "for i in range(10000):\n",
    "    model.clear()\n",
    "    model(x_train, y_train)\n",
    "    log_posterior = model.log_pdf()\n",
    "    log_posterior.backward()\n",
    "    optimizer.update()\n",
    "y = model(x)\n",
    "plt.scatter(x_train, y_train, marker=\"x\", color=\"k\")\n",
    "plt.plot(x, y, color=\"k\")\n",
    "plt.annotate(\"M=30\", (0.7, 0.5))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def load_mnist():\n",
    "    mnist = fetch_mldata(\"MNIST original\")\n",
    "    x = mnist.data\n",
    "    label = mnist.target\n",
    "\n",
    "    x = x / np.max(x, axis=1, keepdims=True)\n",
    "    x = x.reshape(-1, 28, 28, 1)\n",
    "\n",
    "    x_train, x_test, label_train, label_test = train_test_split(x, label, test_size=0.1)\n",
    "    y_train = LabelBinarizer().fit_transform(label_train)\n",
    "    return x_train, x_test, y_train, label_test\n",
    "x_train, x_test, y_train, label_test = load_mnist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "step 0000, accuracy 0.14, Log Likelihood -133.503\n",
      "step 0100, accuracy 0.88, Log Likelihood -19.0089\n",
      "step 0200, accuracy 0.96, Log Likelihood -9.46796\n",
      "step 0300, accuracy 0.90, Log Likelihood -15.0645\n",
      "step 0400, accuracy 1.00, Log Likelihood -2.39944\n",
      "step 0500, accuracy 0.92, Log Likelihood -4.48378\n",
      "step 0600, accuracy 0.96, Log Likelihood -4.88767\n",
      "step 0700, accuracy 0.94, Log Likelihood -7.86324\n",
      "step 0800, accuracy 0.98, Log Likelihood -2.44538\n",
      "step 0900, accuracy 0.98, Log Likelihood -2.71264\n"
     ]
    }
   ],
   "source": [
    "class ConvolutionalNeuralNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self):\n",
    "        truncnorm = st.truncnorm(a=-2, b=2, scale=0.1)\n",
    "        super().__init__(\n",
    "            w1=truncnorm.rvs((5, 5, 1, 20)),\n",
    "            b1=np.zeros(20) + 0.1,\n",
    "            w2=truncnorm.rvs((5, 5, 20, 20)),\n",
    "            b2=np.zeros(20) + 0.1,\n",
    "            w3=truncnorm.rvs((4 * 4 * 20, 500)),\n",
    "            b3=np.zeros(500) + 0.1,\n",
    "            w4=truncnorm.rvs((500, 10)),\n",
    "            b4=np.zeros(10) + 0.1\n",
    "        )\n",
    "        \n",
    "    def __call__(self, x, y=None):\n",
    "        h = nn.relu(nn.convolve2d(x, self.w1) + self.b1)\n",
    "        h = nn.max_pooling2d(h, (2, 2), (2, 2))\n",
    "        \n",
    "        h = nn.relu(nn.convolve2d(h, self.w2) + self.b2)\n",
    "        h = nn.max_pooling2d(h, (2, 2), (2, 2))\n",
    "        \n",
    "        h = h.reshape(-1, 4 * 4 * 20)\n",
    "        h = nn.relu(h @ self.w3 + self.b3)\n",
    "        \n",
    "        self.py = nn.random.Categorical(logit=h @ self.w4 + self.b4, data=y)\n",
    "        return self.py.mu.value\n",
    "\n",
    "model = ConvolutionalNeuralNetwork()\n",
    "optimizer = nn.optimizer.Adam(model, 1e-3)\n",
    "\n",
    "while True:\n",
    "    indices = np.random.permutation(len(x_train))\n",
    "    for index in range(0, len(x_train), 50):\n",
    "        model.clear()\n",
    "        x_batch = x_train[indices[index: index + 50]]\n",
    "        y_batch = y_train[indices[index: index + 50]]\n",
    "        prob = model(x_batch, y_batch)\n",
    "        log_likelihood = model.log_pdf()\n",
    "        if optimizer.n_iter % 100 == 0:\n",
    "            accuracy = accuracy_score(\n",
    "                np.argmax(y_batch, axis=-1), np.argmax(prob, axis=-1)\n",
    "            )\n",
    "            print(\"step {:04d}\".format(optimizer.n_iter), end=\", \")\n",
    "            print(\"accuracy {:.2f}\".format(accuracy), end=\", \")\n",
    "            print(\"Log Likelihood {:g}\".format(log_likelihood.value))\n",
    "        log_likelihood.backward()\n",
    "        optimizer.update()\n",
    "        if optimizer.n_iter == 1000:\n",
    "            break\n",
    "    else:\n",
    "        continue\n",
    "    break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "accuracy (test): 0.969571428571\n"
     ]
    }
   ],
   "source": [
    "label_pred = []\n",
    "for i in range(0, len(x_test), 50):\n",
    "    label_pred.append(np.argmax(model(x_test[i: i + 50]), axis=-1))\n",
    "label_pred = np.asarray(label_pred).ravel()\n",
    "print(\"accuracy (test):\", accuracy_score(label_test, label_pred))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.6 Mixture Density Networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def create_toy_data(func, n=300):\n",
    "    t = np.random.uniform(size=(n, 1))\n",
    "    x = func(t) + np.random.uniform(-0.05, 0.05, size=(n, 1))\n",
    "    return x, t\n",
    "\n",
    "def func(x):\n",
    "        return x + 0.3 * np.sin(2 * np.pi * x)\n",
    "\n",
    "def sample(x, t, n=None):\n",
    "    assert len(x) == len(t)\n",
    "    N = len(x)\n",
    "    if n is None:\n",
    "        n = N\n",
    "    indices = np.random.choice(N, n, replace=False)\n",
    "    return x[indices], t[indices]\n",
    "\n",
    "x_train, y_train = create_toy_data(func)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class MixtureDensityNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self, n_components):\n",
    "        truncnorm = st.truncnorm(a=-0.2, b=0.2, scale=0.1)\n",
    "        self.n_components = n_components\n",
    "        super().__init__(\n",
    "            w1=truncnorm.rvs((1, 5)),\n",
    "            b1=np.zeros(5),\n",
    "            w2_c=truncnorm.rvs((5, n_components)),\n",
    "            b2_c=np.zeros(n_components),\n",
    "            w2_m=truncnorm.rvs((5, n_components)),\n",
    "            b2_m=np.zeros(n_components),\n",
    "            w2_s=truncnorm.rvs((5, n_components)),\n",
    "            b2_s=np.zeros(n_components)\n",
    "        )\n",
    "\n",
    "    def __call__(self, x, y=None):\n",
    "        h = nn.tanh(x @ self.w1 + self.b1)\n",
    "        coef = nn.softmax(h @ self.w2_c + self.b2_c)\n",
    "        mean = h @ self.w2_m + self.b2_m\n",
    "        std = nn.exp(h @ self.w2_s + self.b2_s)\n",
    "        self.py = nn.random.GaussianMixture(coef, mean, std, data=y)\n",
    "        return self.py"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "model = MixtureDensityNetwork(3)\n",
    "optimizer = nn.optimizer.Adam(model, 1e-4)\n",
    "\n",
    "for i in range(30000):\n",
    "    model.clear()\n",
    "    batch = sample(x_train, y_train, n=100)\n",
    "    model(x_train, y_train)\n",
    "    log_likelihood = model.log_pdf()\n",
    "    log_likelihood.backward()\n",
    "    optimizer.update()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABIQAAANeCAYAAABj0NXxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCCGEEEIIIYQQ3cz/BybjBYqfyZMMAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117f19dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x, y = np.meshgrid(\n",
    "    np.linspace(x_train.min(), x_train.max(), 100),\n",
    "    np.linspace(y_train.min(), y_train.max(), 100))\n",
    "xy = np.array([x, y]).reshape(2, -1).T\n",
    "\n",
    "p = model(xy[:, 0].reshape(-1, 1), xy[:, 1].reshape(-1, 1))\n",
    "\n",
    "plt.figure(figsize=(20, 15))\n",
    "plt.subplot(2, 2, 1)\n",
    "plt.plot(x[0], p.coef.value[:100, 0], color=\"blue\")\n",
    "plt.plot(x[0], p.coef.value[:100, 1], color=\"red\")\n",
    "plt.plot(x[0], p.coef.value[:100, 2], color=\"green\")\n",
    "plt.title(\"weights\")\n",
    "\n",
    "plt.subplot(2, 2, 2)\n",
    "plt.plot(x[0], p.mu.value[:100, 0], color=\"blue\")\n",
    "plt.plot(x[0], p.mu.value[:100, 1], color=\"red\")\n",
    "plt.plot(x[0], p.mu.value[:100, 2], color=\"green\")\n",
    "plt.title(\"means\")\n",
    "\n",
    "plt.subplot(2, 2, 3)\n",
    "prob = p.pdf().value\n",
    "levels_log = np.linspace(0, np.log(prob.max()), 21)\n",
    "levels = np.exp(levels_log)\n",
    "levels[0] = 0\n",
    "plt.contour(x, y, prob.reshape(100, 100), levels)\n",
    "plt.xlim(x_train.min(), x_train.max())\n",
    "plt.ylim(y_train.min(), y_train.max())\n",
    "\n",
    "plt.subplot(2, 2, 4)\n",
    "argmax = np.argmax(p.coef.value[:100], axis=1)\n",
    "for i in range(3):\n",
    "    indices = np.where(argmax == i)[0]\n",
    "    plt.plot(x[0, indices], p.mu.value[(indices, np.zeros_like(indices) + i)], color=\"r\", linewidth=2)\n",
    "plt.scatter(x_train, y_train, facecolor=\"none\", edgecolor=\"b\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5.7 Bayesian Neural Networks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "x_train, y_train = make_moons(n_samples=500, noise=0.2)\n",
    "y_train = y_train[:, None]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class BayesianNetwork(nn.Network):\n",
    "    \n",
    "    def __init__(self, n_input, n_hidden, n_output=1):\n",
    "        super().__init__(\n",
    "            w1_m=np.zeros((n_input, n_hidden)),\n",
    "            w1_s=np.zeros((n_input, n_hidden)),\n",
    "            b1_m=np.zeros(n_hidden),\n",
    "            b1_s=np.zeros(n_hidden),\n",
    "            w2_m=np.zeros((n_hidden, n_hidden)),\n",
    "            w2_s=np.zeros((n_hidden, n_hidden)),\n",
    "            b2_m=np.zeros(n_hidden),\n",
    "            b2_s=np.zeros(n_hidden),\n",
    "            w3_m=np.zeros((n_hidden, n_output)),\n",
    "            w3_s=np.zeros((n_hidden, n_output)),\n",
    "            b3_m=np.zeros(n_output),\n",
    "            b3_s=np.zeros(n_output)\n",
    "        )\n",
    "\n",
    "    def __call__(self, x, y=None):\n",
    "        self.qw1 = nn.random.Gaussian(\n",
    "            self.w1_m, nn.softplus(self.w1_s),\n",
    "            p=nn.random.Gaussian(0, 1)\n",
    "        )\n",
    "        self.qb1 = nn.random.Gaussian(\n",
    "            self.b1_m, nn.softplus(self.b1_s),\n",
    "            p=nn.random.Gaussian(0, 1)\n",
    "        )\n",
    "        self.qw2 = nn.random.Gaussian(\n",
    "            self.w2_m, nn.softplus(self.w2_s),\n",
    "            p=nn.random.Gaussian(0, 1)\n",
    "        )\n",
    "        self.qb2 = nn.random.Gaussian(\n",
    "            self.b2_m, nn.softplus(self.b2_s),\n",
    "            p=nn.random.Gaussian(0, 1)\n",
    "        )\n",
    "        self.qw3 = nn.random.Gaussian(\n",
    "            self.w3_m, nn.softplus(self.w3_s),\n",
    "            p=nn.random.Gaussian(0, 1)\n",
    "        )\n",
    "        self.qb3 = nn.random.Gaussian(\n",
    "            self.b3_m, nn.softplus(self.b3_s),\n",
    "            p=nn.random.Gaussian(0, 1)\n",
    "        )\n",
    "        h = nn.tanh(x @ self.qw1.draw() + self.qb1.draw())\n",
    "        h = nn.tanh(h @ self.qw2.draw() + self.qb2.draw())\n",
    "        self.py = nn.random.Bernoulli(logit=h @ self.qw3.draw() + self.qb3.draw(), data=y)\n",
    "        return self.py.mu.value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "model = BayesianNetwork(2, 5, 1)\n",
    "optimizer = nn.optimizer.Adam(model, 0.1)\n",
    "optimizer.set_decay(0.9, 100)\n",
    "\n",
    "for i in range(2000):\n",
    "    model.clear()\n",
    "    model(x_train, y_train)\n",
    "    elbo = model.elbo()\n",
    "    elbo.backward()\n",
    "    optimizer.update()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAATAAAAD8CAYAAADwpviIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nUbU4A+ZwOKoWZ8AcDkfV4gyYw+GoWv4/6Q+G4JKlFHEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117e492b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_grid = np.mgrid[-2:3:100j, -2:3:100j]\n",
    "x1, x2 = x_grid[0], x_grid[1]\n",
    "x_grid = x_grid.reshape(2, -1).T\n",
    "\n",
    "y = np.mean([model(x_grid).reshape(100, 100) for _ in range(10)], axis=0)\n",
    "\n",
    "plt.scatter(x_train[:, 0], x_train[:, 1], c=y_train, s=5)\n",
    "plt.contourf(x1, x2, y, np.linspace(0, 1, 11), alpha=0.2)\n",
    "plt.colorbar()\n",
    "plt.xlim(-2, 3)\n",
    "plt.ylim(-2, 3)\n",
    "plt.gca().set_aspect('equal', adjustable='box')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
